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Confidential 1 OUR LESSON : Comparing and Ordering Decimals

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2 WARM-UP: Use > or < to compare these numbers. 1.) 11 -11 2.) -2,376 -2,367 3.)3 x 72 = 216 4.) 117 / 13 = 9 > <

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Confidential 3 Decimals are numbers, with a decimal point in it, like these: 1.5, 0.6, 3.14 their opposites, and zero. Decimal numbers are used commonly in Banks, To display their interest rate. They are also used while measuring distance, temperature heights etc..

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Confidential 4 Lets take an example 523, 52.3, 5.23, 0.523 These three numbers above have the same three digits, in the same order, yet they are all different. Take a good look at them.

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Confidential 5 523 is a whole number, and would be read as Five hundred and twenty three The second number 52.3 contains a decimal point, marking the end of the whole number, and would be read as Fifty two point three. 523, 52.3, 5.23, 0.523 The third also contains a decimal point, and would be read as Five point two three (not five point twenty three). The last decimal 0.523 contains no whole number, and it begins with a zero before the decimal point. It would be read as zero point five two three.

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Confidential 6 The digits of the number to the left of the decimal point represent the whole number. Digits on the right of the point are decimal fractions If there is no whole number, the decimal will begin with a zero in the units position. Digits after the decimal point are read individually. Remember

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Confidential 7 DECIMALS can be shown as points on a number line. Zero is the Origin. decimal on the right of zero are POSITIVE. decimal on the left of zero are NEGATIVE. It is neither positive nor negative! 0 -3.0-4.0-5.0 1.02.0 3.04.05.0-2.0

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Confidential 8 0 -3.0-4.0-5.0 1.02.0 3.04.05.0-2.0 6/1/1 Comparing and Ordering Integers When we say words like more, less or equal to; we compare the two numbers We can compare and order DECIMALS using the number line. -3.2 < 1.1 smaller numbers bigger numbers Therefore...

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Confidential 9 6/1/1 Comparing and Ordering Integers Try this one! Order these decimals on the number line. 4.3 -4.1 3.8 1.5 Which is the smallest decimal? -4.1 What is the largest decimal ? 4.3 0 -3.0-4.0-5.0 1.02.0 3.04.05.0-2.0 -4.11.5 3.84.3

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Confidential 10 We can also compare two Decimals by comparing the digits in each place value position T O. T H Th 3. 4 7 3. 8 2 Start at the left and compare the digits in each place- value position. In the ones place, the digits are the same. In the tenths place, 4 < 8, So, 3.47 < 3.82 Lets take an example : Compare 3.47 and 3.82 Align the numbers by their decimal points

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Confidential 11 Compare and arrange these decimals from least to the greatest 3.41, -2.87, -0.11, 0.01, 6.08, 3.001 -2.87, -0.11, 0.01, 3.001, 3.41, 6.08

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Confidential 12 Lets Take a BREAK!!

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Confidential 13 GAME TIME !!! click here to play

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Confidential 14 6/1/1 Comparing and Ordering Integers 1) The temperature of five cities as measured at 5AM is given below. Order these from the coldest to the warmest. -5.1, 3.2, -2.1, 5.1, 1.0 -5.1, -2.1, 1.0, 3.2, 5.1

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Confidential 15 2.)Compare 0.1 and 0.10. Are the equal? 6/1/1 Comparing and Ordering Integers Yes they are equal as the whole number part and fraction part is same and adding Zero’s to the right of a decimal number makes no difference to the number

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Confidential 16 3) Write the place values of these decimals and compare them. 3.23, 0.323, 32.3, 323 H T O. T H Th 3 2 3. 0 0 0 0 3 2. 3 0 0 0 0 3. 2 3 0 0 0 0. 3 2 3

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Confidential 17 6/1/1 Comparing and Ordering Integers Let's see how well we understood the lesson today. 1.) What are Decimals? Decimals are numbers, with a decimal point in it. 2.) Which is greater -0.01 or 0.001? 0.001 3.) Write these decimals in words 3.12 Three dot one two 5.81 five dot eight one

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Confidential 18 6/1/1 Comparing and Ordering Integers 5.) Insert a. 5.01 b. -6.33 c. -3.7 5.1 1.01 3.7 4) Write the whole number part and fraction part of these decimals Whole Part Fraction Part 33.123312 0.66 066 > > >

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Confidential 19 6/1/1 Comparing and Ordering Integers Let's Review Decimals are numbers, with a decimal point in it, like 5.12, 4.33, -3.01 The digits of the number to the left of the decimal point represent the whole number Digits on the right of the point are decimal fractions Digits after the decimal point are read individually.

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Confidential 20 We can also compare two Decimals by comparing the digits in each place value position We can compare and order DECIMALS using the number line. DECIMALS can be shown as points on a number line.

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Confidential 21 0 -3-4 -5 12 34 5 If we compare 2 numbers on a number line, the number that is furthest to the left is the smaller number! -4.1 is smaller than -1.1 <

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Confidential 22 You had a GREAT lesson today! Be sure to practice what you learned!

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